Распределение влияния в рейхстаге Веймарской республики в 1919–1933 гг.
We present an analysis of the distribution of voting power in the Reichstag of the Weimar Republic based on the outcomes of the nine general elections in the period 1919-1933. The paper contains a brief description of the political and electoral system of the Weimar Republic and a characterization of the main political actors and their political views. The power distributions are evaluated by means of the Banzhaf index and two new indices which take into account the parties' preferences to coalesce. A model is constructed to evaluate the parties' preferences with reference to the closeness of the ideological positions in a one-dimensional political space.
Theoretical and experimental results of curing of polymer composite pipes with the use of microwave radiation energy are presented. The results of studies on the accelerated curing of polymer composite pipes with diameter of 2000 mm, thickness of 36 mm at a temperature of +200°C and at anelectromagnetic field frequency oscillation of 2450 MHz and the output microwave power of 115 kW in a beam-type microwave device are given. The temperature deviation from the nominal value on the outer surface of the pipe is absent, and in the thickness of pipe does not exceed 5°C. A method of composite pipes curing can reduce energy costs, increase productivity and improve working conditions of staff.
The results of calculation and measurement of temperature distribution in the leasing out of dielectric materials which are heated up in the microwave devices wave-water type. The calculation method of microwave devices of a waveguide type of heat treatment of sheet dielectric materials. Considered microwave devices, Otley-exclusive feature of which is the change of the geometrical sizes of a narrow wall of a rectangular waveguide, working mainly on the type of waves to ensure a uniform temperature in the processed sheet the dielectric-dielectric material.
The method of calculation of the temperature distribution in the dielectric material for the traveling wave microwave devices is presented. The basic equations for the temperature distribution in the direction of the electromagnetic field energy propagation with considering the dependence of the dielectric parameters of a material on the temperature changes and taking into account the heat transfer to the environment for the arbitrary design of the electrodynamic system are obtained. The results of calculation and measurements of the temperature distribution of the material in the direction of the traveling wave propagationat the electromagnetic field frequency oscillations of 2450 MHz are given. The discrepancy of calculated and measured characteristics of the temperature distribution in the material does not exceed 10%.
An analysis of power distribution is studied among factions and groups in Verkhovna Rada of Ukraine (1990–2012). Banzhaf power index is used to evaluate the power of factions and groups for two different decision-making rules, the simple majority and the constitutional majority. Ordinal α-index – a generalization of Banzhaf power index which takes into account factions’ and groups’ preferences forcoalition formation –- is evaluated as well. It is shown that the power of a faction evaluated using Banzhaf index might significantly differ from its share of seats. It is shown as well that if α-index is used centrist factions increase their power while factions with radical positions decrease their power. A brief information is provided about the modern history of Ukrainian parliament, electoral system, structure of Verkvona Rada of Ukraine and the main political events in Ukraine in the period 1990– 2012.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.